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Models and Measures of Statistical Physics and Sociophysics for Fracture Mechanics and Earthquake Dynamics: An Introduction
Sudip Sarkar, Soumyajyoti Biswas, Bikas K. Chakrabarti
The breaking or fracture of materials and damages or devastations due to earthquakes have caught our attention since the earliest stage of human civilization. In fact, at around 15…
deGennes-Suzuki-Kubo Quantum Ising Mean Field Dynamics: Applications to Quantum Hysteresis, Heat Engines and Annealing
Soumyaditya Das, Soumyajyoti Biswas, Muktish Acharyya +1
We briefly review the early development of the mean-field dynamics for cooperatively interacting quantum many-body systems, mapped to pseudo-spin (Ising-like) systems. We start wit…
Q-factor: A measure of competition between the topper and the average in percolation and in SOC
Asim Ghosh, S. S. Manna, Bikas K. Chakrabarti
We define the -factor in the percolation problem as the quotient of the size of the largest cluster and the average size of all clusters. As the occupation probability is in…
Quantum Annealing in Sherrington-Kirkpatrick Spin Glass in Presence of Time-Dependent Longitudinal Field
Atanu Rajak, Bikas K Chakrabarti
Motivated by the recent development of quantum technology using quantum annealing technique and the recent works on the static properties of the Sherrington-Kirkpatrick (SK) spin g…
Quantum Ising Heat Engines: A mean field study
Muktish Acharyya, Bikas K. Chakrabarti
We have studied the efficiencies of both classical and quantum heat engines using an Ising model as working fluid and the mean field equation for its non-equilibrium dynamics, form…
Finding critical points and correlation length exponents using finite size scaling of Gini index
Soumyaditya Das, Soumyajyoti Biswas, Anirban Chakraborti +1
The order parameter for a continuous transition shows diverging fluctuation near the critical point. Here we show, through numerical simulations and scaling arguments, that the ine…
Inequality of avalanche sizes in models of fracture
Diksha, Sumanta Kundu, Bikas K. Chakrabarti +1
Prediction of an imminent catastrophic event in a driven disordered system is of paramount importance - from the laboratory scale controlled fracture experiment to the largest scal…
Quantum Annealing: An Overview
Atanu Rajak, Sei Suzuki, Amit Dutta +1
In this review, after providing the basic physical concept behind quantum annealing (or adiabatic quantum computation), we present an overview of some recent theoretical as well as…
Quantum Annealing and Computation
Bikas K Chakrabarti, Sudip Mukherjee
We introduce and review briefly the phenomenon of quantum annealing and analog computation. The role of quantum fluctuation (tunneling) in random systems with rugged (free) energy…
Near universal values of social inequality indices in self-organized critical models
S. S. Manna, Soumyajyoti Biswas, Bikas K. Chakrabarti
We have studied few social inequality measures associated with the sub-critical dynamical features (measured in terms of the avalanche size distributions) of four self-organized cr…
Social Inequality Analysis of Fiber Bundle Model Statistics and Prediction of Materials Failure
Soumyajyoti Biswas, Bikas K. Chakrabarti
Inequalities are abundant in a society with a number of agents competing for a limited amount of resource. Statistics of such social inequalities are usually represented by the Lor…
Cooperative dynamics in the Fiber Bundle Model
Bikas K. Chakrabarti, Soumyajyoti Biswas, Srutarshi Pradhan
We discuss the cooperative failure dynamics in the Fiber Bundle Model where the individual elements or fibers are Hookean springs, having identical spring constant but different br…
Flory-like Statistics of Fracture in Fiber Bundle Model as obtained via Kolmogorov Dispersion for Turbulence: A conjecture
Soumyajyoti Biswas, Bikas K. Chakrabarti
It has long been conjectured that (rapid) fracture propagation dynamics in materials and turbulent motion of fluids are two manifestations of the same physical process. The univers…
Introduction to Critical Phenomena through the Fiber Bundle Model of Fracture
Srutarshi Pradhan, Bikas K. Chakrabarti
We discuss the failure dynamics of the Fiber Bundle Model, especially in the equal-load-sharing scheme. We also highlight the "Critical" aspects of their dynamics in comparison wit…
On the Question of Ergodicity in Quantum Spin Glass Phase and its role in Quantum Annealing
Sudip Mukherjee, Bikas K Chakrabarti
We first review, following our earlier studies, the critical behavior of the quantum Sherrington-Kirkpatrick (SK) model at finite as well as at zero temperatures. Through the analy…
Possible Ergodic-nonergodic regions in the quantum Sherrington-Kirkpatrick spin glass model and quantum annealing
Sudip Mukherjee, Atanu Rajak, Bikas K Chakrabarti
We explore the behavior of order parameter distribution of quantum Sherrington-Kirkpatrick model in the spin glass phase using Monte Carlo technique for the effective Suzuki-Trotte…
Classical-quantum crossover in the critical behavior of the transverse field S-K spin glass model
Sudip Mukherjee, Atanu Rajak, Bikas K Chakrabarti
We study the critical behavior of Sherrington-Kirkpatrick model in transverse field (at finite temperature) using Monte Carlo simulation and exact diagonalization (at zero temperat…
Multivariable Optimization: Quantum Annealing & Computation
Sudip Mukherjee, Bikas K. Chakrabarti
Recent developments in quantum annealing techniques have been indicating potential advantage of quantum annealing for solving NP-hard optimization problems. In this article we brie…
Quantum Annealing search of Ising spin glass ground state(s) with tunable transverse & longitudinal fields
A Rajak, B K Chakrabarti
Here we first discuss briefly the quantum annealing technique. We then study the quantum annealing of Sherrington-Kirkpatrick spin glass model with the tuning of both transverse an…
Self-organized dynamics in local load sharing fiber bundle models
Soumyajyoti Biswas, Bikas K. Chakrabarti
We study the dynamics of a local load sharing fiber bundle model in two dimensions, under an external load (which increases with time at a fixed slow rate) applied at a single poin…
Response of Two-dimensional Kinetic Ising Model under Stochastic Field
Asim Ghosh, Bikas K. Chakrabarti
We study, using Monte Carlo dynamics, the time () dependent average magnetization per spin behavior of 2-D kinetic Ising model under a binary () stochastic field…
Equivalence of the train model of earthquake and boundary driven Edwards-Wilkinson interface
Soumyajyoti Biswas, Purusattam Ray, Bikas K. Chakrabarti
A discretized version of the Burridge-Knopoff train model with (non-linear friction force replaced by) random pinning is studied in one and two dimensions. A scale free distributio…
Crossover behaviors in one and two dimensional heterogeneous load sharing fiber bundle models
Soumyajyoti Biswas, Bikas K. Chakrabarti
We study the effect of heterogeneous load sharing in the fiber bundle models of fracture. The system is divided into two groups of fibers (fraction and ) in which one grou…
Noise induced rupture process: Phase boundary and scaling of waiting time distribution
Srutarshi Pradhan, Anjan Kumar Chandra, Bikas K. Chakrabarti
A bundle of fibers has been considered here as a model for composite materials, where breaking of the fibers occur due to a combined influence of applied load (stress) and external…